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Finding the Third Proportional to 1,361,969,953.88 and 2,832,638,956.31

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Solution

The third proportional to 1,361,969,953.88 and 2,832,638,956.31 is: 5,891,351,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,969,953.88 : 2,832,638,956.31 = 2,832,638,956.31 : x
  2. Step 2: Convert to fraction form
    1,361,969,953.88/2,832,638,956.31 = 2,832,638,956.31/x
  3. Step 3: Cross multiply
    1,361,969,953.88x = 2,832,638,956.31 × 2,832,638,956.31
  4. Step 4: Simplify right side
    1,361,969,953.88x = 8,023,843,456,819,169,280
  5. Step 5: Solve for x
    x = 8,023,843,456,819,169,280/1,361,969,953.88
  6. Step 6: Final answer
    x = 5,891,351,298.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.